Least Common Multiple of 7401 and 7409
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7401 and 7409 the smallest integer that is 54834009 that is divisible by both numbers.
Least Common Multiple (LCM) of 7401 and 7409 is 54834009.
LCM(7401,7409) = 54834009
LCM of 7401 and 7409
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7401 and 7409 by Prime method
- Least Common Multiple of 7401 and 7409 with GCF Formula
LCM of 7401 and 7409 is 54834009
Least common multiple can be found by multiplying the highest exponent prime factors of 7401 and 7409. First we will calculate the prime factors of 7401 and 7409.
Prime Factorization of 7401
| 3 | 7401 |
| 2467 | 2467 |
| 1 |
Prime factors of 7401 are 3,2467. Prime factorization of 7401 in exponential form is:
7401 = 31×24671
Prime Factorization of 7409
| 31 | 7409 |
| 239 | 239 |
| 1 |
Prime factors of 7409 are 31,239. Prime factorization of 7409 in exponential form is:
7409 = 311×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 7401 and 7409.
LCM(7401,7409) = 31×311×2391×24671
LCM(7401,7409) = 54834009
Factors of 7401
List of positive integer factors of 7401 that divides 7401 without a remainder.
1, 3, 2467, 7401
Factors of 7409
List of positive integer factors of 7409 that divides 7409 without a remainder.
1, 31, 239, 7409
Least Common Multiple of 7401 and 7409 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7401 and 7409, than apply into the LCM equation.
GCF(7401,7409) = 1
LCM(7401,7409) = ( 7401 × 7409) / 1
LCM(7401,7409) = 54834009 / 1
LCM(7401,7409) = 54834009
Properties of LCM 7401 and 7409
(i) The LCM of 7409 and 7401 is associative
LCM of 7401 and 7409 = LCM of 7409 and 7401
Related Least Common Multiples of 7401
Related Least Common Multiples of 7409
Frequently Asked Questions on LCM of 7401 and 7409
1. What is the LCM of 7401 and 7409?
Answer: LCM of 7401 and 7409 is 54834009.
2. What are the Factors of 7401?
Answer: Factors of 7401 are 1, 3, 2467, 7401. There are 4 integers that are factors of 7401. The greatest factor of 7401 is 7401.
3. What are the Factors of 7409?
Answer: Factors of 7409 are 1, 31, 239, 7409. There are 4 integers that are factors of 7409. The greatest factor of 7409 is 7409.
4. How to Find the LCM of 7401 and 7409?
Answer:
Least Common Multiple of 7401 and 7409 = 54834009
Step 1: Find the prime factorization of 7401
7401 = 3 x 2467
Step 2: Find the prime factorization of 7409
7409 = 31 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54834009 = 3 x 31 x 239 x 2467
Step 4: Therefore, the least common multiple of 7401 and 7409 is 54834009.